On a General Contractive Condition for Cyclic Self-Mappings
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-12
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper is concerned with p(≥2)-cyclic self-mappings T:⋃i∈p¯Ai→⋃i∈p¯Ai in a metric space (X, d), with Ai⊂X, T(Ai)⊆Ai+1 for i=1,2,…,p, under a general contractive condition which includes as particular cases several of the existing ones in the literature.
The existence and uniqueness of fixed points and best proximity points is discussed as well as the convergence to them of the iterates generated by the self-mapping from given initial points.
American Psychological Association (APA)
de La Sen, Manuel. 2011. On a General Contractive Condition for Cyclic Self-Mappings. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-17.
https://search.emarefa.net/detail/BIM-990576
Modern Language Association (MLA)
de La Sen, Manuel. On a General Contractive Condition for Cyclic Self-Mappings. Journal of Applied Mathematics No. 2011 (2011), pp.1-17.
https://search.emarefa.net/detail/BIM-990576
American Medical Association (AMA)
de La Sen, Manuel. On a General Contractive Condition for Cyclic Self-Mappings. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-17.
https://search.emarefa.net/detail/BIM-990576
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-990576
